منابع مشابه
Diagonals in Tensor Products of Operator Algebras
In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product of A with itself, then A must be isomorphic to a finite dimensional C∗-algebra. Consequently, for operator algebras, the first Hochschild cohomology group, H(A, X) = 0 for every bounded, Banach A-bimodule X , if and ...
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Let V =V1 ⊗ V2 be a tensor product of VOAs. Using Zhu theory we discuss the theory of representations of V (associative algebra, modules and ’fusion rules’). We prove that this theory is more or less the same as representation theory of tensor product of the associative algebras.
متن کاملOn Tensor Products of Operator Modules
The injective tensor product of normal representable bimodules over von Neumann algebras is shown to be normal. The usual Banach module projective tensor product of central representable bimodules over an Abelian C∗-algebra is shown to be representable. A normal version of the projective tensor product is introduced for central normal bimodules.
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We introduce and study the definition, main properties and applications of iterated twisted tensor products of algebras, motivated by the problem of defining a suitable representative for the product of spaces in noncommutative geometry. We find conditions for constructing an iterated product of three factors, and prove that they are enough for building an iterated product of any number of fact...
متن کاملPositive Cone in $p$-Operator Projective Tensor Product of Fig`a-Talamanca-Herz Algebras
In this paper we define an order structure on the $p$-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between $A_p(Gtimes H)$ and $A_p(G)widehat{otimes}^p A_p(H)$ is an order isomorphism for amenable groups $G$ and $H$.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1977
ISSN: 0001-8708
DOI: 10.1016/0001-8708(77)90085-8